de Boer, Jan and Derrida, Bernard and Flyvbjerg, Henrik and Jackson, Andrew D. and Wettig, Tilo
Simple Model of Self-Organized Biological Evolution.
Physical Review Letters (PRL) 73 (6), pp. 906-909.
Other URL: http://link.aps.org/doi/10.1103/PhysRevLett.73.906
We give an exact solution of a recently proposed self-organized critical model of biological evolution. We show that the model has a power law distribution of durations of coevolutionary "avalanches" with a mean field exponent 3/2. We also calculate analytically the finite size effects which cut off this power law at times of the order of the system size.